233514768 has 80 divisors (see below), whose sum is σ = 644244480. Its totient is φ = 72707712.

The previous prime is 233514761. The next prime is 233514779. The reversal of 233514768 is 867415332.

233514768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233514761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45013 + ... + 49931.

It is an arithmetic number, because the mean of its divisors is an integer number (8053056).

Almost surely, 2^233514768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233514768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322122240).

233514768 is an abundant number, since it is smaller than the sum of its proper divisors (410729712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233514768 is a wasteful number, since it uses less digits than its factorization.

233514768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4990 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 233514768 is about 15281.1900060172. The cubic root of 233514768 is about 615.7977775520.

The spelling of 233514768 in words is "two hundred thirty-three million, five hundred fourteen thousand, seven hundred sixty-eight".